Finding the Fourth Proportional to 1,854.21, 2,780.29 and 759.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,854.21 : 2,780.29 = 759.34 : x
2. Step 2: Convert to fraction form
   1,854.21/2,780.29 = 759.34/x
3. Step 3: Cross multiply
   1,854.21x = 2,780.29 × 759.34
4. Step 4: Simplify right side
   1,854.21x = 2,111,185.41
5. Step 5: Solve for x
   x = 2,111,185.41/1,854.21
6. Step 6: Final answer
   x = 1,138.59